* Implementation of the Zeta-function and some related stuff. */
/*
- * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2003 Johannes Gutenberg University Mainz, Germany
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
#include "numeric.h"
#include "power.h"
#include "symbol.h"
+#include "operators.h"
#include "utils.h"
namespace GiNaC {
static ex zeta1_evalf(const ex & x)
{
- BEGIN_TYPECHECK
- TYPECHECK(x,numeric)
- END_TYPECHECK(zeta(x))
-
- return zeta(ex_to_numeric(x));
+ if (is_exactly_a<numeric>(x)) {
+ try {
+ return zeta(ex_to<numeric>(x));
+ } catch (const dunno &e) { }
+ }
+
+ return zeta(x).hold();
}
static ex zeta1_eval(const ex & x)
{
if (x.info(info_flags::numeric)) {
- numeric y = ex_to_numeric(x);
+ const numeric &y = ex_to<numeric>(x);
// trap integer arguments:
if (y.is_integer()) {
if (y.is_zero())
- return -_ex1_2();
- if (x.is_equal(_ex1()))
+ return _ex_1_2;
+ if (y.is_equal(_num1))
throw(std::domain_error("zeta(1): infinity"));
- if (x.info(info_flags::posint)) {
- if (x.info(info_flags::odd))
+ if (y.info(info_flags::posint)) {
+ if (y.info(info_flags::odd))
return zeta(x).hold();
else
- return abs(bernoulli(y))*pow(Pi,x)*pow(_num2(),y-_num1())/factorial(y);
+ return abs(bernoulli(y))*pow(Pi,y)*pow(_num2,y-_num1)/factorial(y);
} else {
- if (x.info(info_flags::odd))
- return -bernoulli(_num1()-y)/(_num1()-y);
+ if (y.info(info_flags::odd))
+ return -bernoulli(_num1-y)/(_num1-y);
else
- return _num0();
+ return _ex0;
}
}
+ // zeta(float)
+ if (y.info(info_flags::numeric) && !y.info(info_flags::crational))
+ return zeta1_evalf(x);
}
return zeta(x).hold();
}
{
GINAC_ASSERT(deriv_param==0);
- return zeta(_ex1(), x);
+ return zeta(_ex1, x);
}
-const unsigned function_index_zeta1 =
+unsigned zeta1_SERIAL::serial =
function::register_new(function_options("zeta").
eval_func(zeta1_eval).
evalf_func(zeta1_evalf).
derivative_func(zeta1_deriv).
- latex_name("\\zeta").
+ latex_name("\\zeta").
overloaded(2));
//////////
return zeta(n+1,x);
}
-const unsigned function_index_zeta2 =
+unsigned zeta2_SERIAL::serial =
function::register_new(function_options("zeta").
eval_func(zeta2_eval).
derivative_func(zeta2_deriv).
+ latex_name("\\zeta").
overloaded(2));
} // namespace GiNaC